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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 630, page id 1815201908:0687
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 24 lines, status machine
# Lines: 24 recognised, mean confidence 0.83
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2hiat
0
HY P F R B, O L A.
bolam, acum F. P liHCa, AVErd F. L, R C parallelas posica, e commune habens cum
F. F linea puttecum B, producta, laceri AC occurracin O. octendetur auremve
Prius PY lineam eAte in plano CIK ec hyperbolam in L contingere: restaripitur
veoctendamus PO lincam minorem ese OF. recta N, occurrar FiP, produ-
etae in R: quoniam ipieur C B, RN aequidistant, e N punctum ostensum est el.
sc intra C _ L, recta aurem FC cum C B, convenine in C, constat R punctum
cadere vlera P. adeoque RO lincam maiorem esle PO: Ccd RO linea aequa-
lis est OF, cum PFI, ITF linex aequales sine, recta isicur PO minor est quâm
P. O. quxe erane demonstranda.
PROBOSITIO CLXZZVIII
NInE AB, BC alympeori hyperbola DDF, _ P F, R Il paralsela
Dasympeoro BC: ducta quoque BD, dividane HBF in parces seu
sectores aquales, occurrenres P. F linex in lCCr. qu’ul
Dico EF in l6C, diuitam esse in concinue proporrionales.
Demonstratio.
C ELBF. diuilum eA in parres aqualesigitur sunt in concinua
alICa FF. cum reliquis sibi parallelis, sunE aureM IF, TIK, RP, et
e.DL.n concinua proporrione. ut quona Pma LL, Commn eu,
TIR, DE, P F, Cuncproporcionales, hinc cciammedia P. I, R C, F Cr. P L, DFOPOr.
rales existur. actat dea.
DR O.